Math 1021 Section 3.1

# Math 1021 Section 3.1 - Math 1021 Section 3.1 Functions A...

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Section 3.1 Functions A relation is a correspondence between two sets A and B such that each element in set A corresponds to one or more elements in set B. Set A is the domain of the relation and set B is the range of the relation. Definition of a Function: A function is a relation in which each element in the domain is associated with exactly one element in the range. It is a well-defined relation. Domain: Set A Range: Set B = Value of function Ex. 1: Determine whether each relation is a function, list domain and range. a.) Domain Range b.) {(1, 2), (2, 4), (3, 6), (2, 8)} Ex. 2 : Determine whether each equation is a function. a.) y = x 3 b.) x 2 = 9 – y 2 Vertical Line Test: If a vertical line intersects the graph of a relation in more than one point, then the relation is NOT a function. Function Notation: Replace y with f(x): y = f(x). The variable x is called the independent variable , because it can be assigned any of the permissible numbers from the domain. The variable y is called the

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Math 1021 Section 3.1 - Math 1021 Section 3.1 Functions A...

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